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Finding the Third Proportional to 428,158.69 and 932,599.13

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Solution

The third proportional to 428,158.69 and 932,599.13 is: 2,031,352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,158.69 : 932,599.13 = 932,599.13 : x
  2. Step 2: Convert to fraction form
    428,158.69/932,599.13 = 932,599.13/x
  3. Step 3: Cross multiply
    428,158.69x = 932,599.13 × 932,599.13
  4. Step 4: Simplify right side
    428,158.69x = 869,741,127,950.77
  5. Step 5: Solve for x
    x = 869,741,127,950.77/428,158.69
  6. Step 6: Final answer
    x = 2,031,352.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.